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Finding the Third Proportional to 75,260 and 164,513

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Solution

The third proportional to 75,260 and 164,513 is: 359,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,260 : 164,513 = 164,513 : x
  2. Step 2: Convert to fraction form
    75,260/164,513 = 164,513/x
  3. Step 3: Cross multiply
    75,260x = 164,513 × 164,513
  4. Step 4: Simplify right side
    75,260x = 27,064,527,169
  5. Step 5: Solve for x
    x = 27,064,527,169/75,260
  6. Step 6: Final answer
    x = 359,613.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.